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Finding the Third Proportional to 107,532 and 166,842

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Solution

The third proportional to 107,532 and 166,842 is: 258,864.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,532 : 166,842 = 166,842 : x
  2. Step 2: Convert to fraction form
    107,532/166,842 = 166,842/x
  3. Step 3: Cross multiply
    107,532x = 166,842 × 166,842
  4. Step 4: Simplify right side
    107,532x = 27,836,252,964
  5. Step 5: Solve for x
    x = 27,836,252,964/107,532
  6. Step 6: Final answer
    x = 258,864.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.